Compare 7/72 and 21/75
7/72 is smaller than 21/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 75 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 72 × 25 = 1800,
7/72 = 7 × 25/72 × 25 = 175/1800 - Likewise, for the 2nd fraction, since 75 × 24 = 1800,
21/75 = 21 × 24/75 × 24 = 504/1800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/1800 < 504/1800 or 7/72 < 21/75
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